What is the Greatest Common Factor of 81680 and 81690?

Greatest common factor (GCF) of 81680 and 81690 is 10.

GCF(81680,81690) = 10

We will now calculate the prime factors of 81680 and 81690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81680 and 81690.

How to find the GCF of 81680 and 81690?

We will first find the prime factorization of 81680 and 81690. After we will calculate the factors of 81680 and 81690 and find the biggest common factor number .

Step-1: Prime Factorization of 81680

Prime factors of 81680 are 2, 5, 1021. Prime factorization of 81680 in exponential form is:

81680 = 2⁴ × 5¹ × 1021¹

Step-2: Prime Factorization of 81690

Prime factors of 81690 are 2, 3, 5, 7, 389. Prime factorization of 81690 in exponential form is:

81690 = 2¹ × 3¹ × 5¹ × 7¹ × 389¹

Step-3: Factors of 81680

List of positive integer factors of 81680 that divides 81680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1021, 2042, 4084, 5105, 8168, 10210, 16336, 20420, 40840

Step-4: Factors of 81690

List of positive integer factors of 81690 that divides 81680 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 389, 778, 1167, 1945, 2334, 2723, 3890, 5446, 5835, 8169, 11670, 13615, 16338, 27230, 40845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81680 and 81690. The biggest common factor number is the GCF number.
So the greatest common factor 81680 and 81690 is 10.

Also check out the Least Common Multiple of 81680 and 81690